uncomplete 31159.rs

This commit is contained in:
2025-05-16 00:37:14 +09:00
parent 337ebeb9b3
commit 8158c38e23

74
storage/zeta/rs/31159.rs Normal file
View File

@@ -0,0 +1,74 @@
use std::cmp::{max, min};
use std::io::stdin;
fn pair_matching(vs: &Vec<(i32, i32)>, i: usize, j: usize) -> i32 {
let (v0, v1) = (vs[i], vs[j]);
max(
max((v0.0 - v1.0).abs(), (v0.1 - v1.1).abs()),
max((v0.0 - v1.1).abs(), (v0.1 - v1.0).abs()),
)
}
fn solve_max_pair_matching(n: i32, vs: &Vec<(i32, i32)>) -> i32 {
let vs_index: Vec<usize> = (0..(2 * n as usize)).collect();
let mut vs_index_min = vs_index.clone();
let mut vs_index_max = vs_index.clone();
vs_index_min.sort_by_key(|&x| min(vs[x].0, vs[x].1));
vs_index_max.sort_by_key(|&x| max(vs[x].0, vs[x].1));
let mut vs_index_presence = vec![true; 2 * n as usize];
let mut s = 0;
let mut min_point = 0;
let mut max_point = 2 * n as usize - 1;
let mut cnt = 0;
while cnt < n {
if !vs_index_presence[vs_index_min[min_point]] {
min_point += 1;
continue;
}
if !vs_index_presence[vs_index_max[max_point]] {
max_point -= 1;
continue;
}
if vs_index_min[min_point] == vs_index_max[max_point] {
if min_point == 2 * n as usize - 1 {
max_point -= 1;
} else {
min_point += 1;
}
continue;
}
cnt += 1;
s += pair_matching(vs, vs_index_min[min_point], vs_index_max[max_point]);
vs_index_presence[vs_index_min[min_point]] = false;
vs_index_presence[vs_index_max[max_point]] = false;
min_point += 1;
max_point -= 1;
}
s
}
fn main() {
let mut line = String::new();
stdin().read_line(&mut line).unwrap();
let n = line.trim().parse::<i32>().unwrap();
drop(line);
let vs = (0..(2 * n))
.map(|_| {
let mut line = String::new();
stdin().read_line(&mut line).unwrap();
let v: Vec<i32> = line
.trim()
.split(' ')
.map(|x| x.parse::<i32>().unwrap())
.collect();
(v[0], v[1])
})
.collect::<Vec<(i32, i32)>>();
println!("{}", solve_max_pair_matching(n, &vs));
}